Kolmogorov operators and SPDEs
type: Item
instance of: scholarly article
title: Kolmogorov operators and SPDEs
zbMATH Open document ID: 1447.60121
DOI: 10.4171/197-1/2
publication date: 2020-07-09T00:00:00Z
review text: Summary: The purpose of this paper is to survey a number of selected results on Kolmogorov operators and SPDEs. It consists of two parts: One part is related to Kolmogorov operators and is devoted to the corresponding linear Fokker-Planck-Kolmogorov equations (see [\textit{V. I. Bogachev} et al., Fokker-Planck-Kolmogorov equations. Providence, RI: American Mathematical Society (AMS) (2015; Zbl 1342.35002)]), the other part is about three key results about SPDEs obtained resp. published during the last funding period, namely an existence and uniqueness result for \(L^2\)-initial data for the stochastic total variation flow, a new approach to SPDEs and a pathwise uniqueness result of SDEs on Hilbert spaces with a merely bounded drift part. For the entire collection see [Zbl 1416.60012].
Mathematics Subject Classification ID: 60H15
zbMATH DE Number: 7219039
zbMATH Keywords: Fokker-Planck-Kolmogorov equations
zbMATH Keywords: Kolmogorov operators
author: Michael Röckner
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4171/197-1/2
OpenAlex ID: W4238711452
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description: scientific article; zbMATH DE number 7219039